Preferred Orientation in Polymer Fiber Scattering

References

• Fraser , R. D. B. , Macrae , T. P. , Miller , A. and Rowlands , R. J. 1976 . “Digital processing of fiber diffraction patterns,” . J. Appl. Cryst. , 9 : 81 – 94 .
   Web of Science ®Google Scholar
• Plaetschke , R. and Ruland , W. 1985 . “Preferred orientation of the internal structure of carbon layers in carbon-fibers,” . Prog. Coll. Polym. Sci. , 71 : 140 – 144 .
   Google Scholar
• Hermans , J. J. , Hermans , P. H. , Vermaas , D. and Weidinger , A. 1946 . “Quantitative evaluation of orientation in cellulose fibres from the x-ray fibre diagram,” . Rec. Trav. Chim. Pays-Bas-J. Roy. Neth. Chem. Soc. , 65 : 427 – 447 .
   Google Scholar
• Burger , C. and Ruland , W. 2006 . “Evaluation of equatorial orientation distributions,” . J. Appl. Cryst. , 39 : 889 – 891 .
   Web of Science ®Google Scholar
• Kratky , O. 1933 . “Zum Deformationsmechanismus der Faserstoffe, I.,” . Kolloid Z. , 64 : 213 – 222 .
   Google Scholar
• Bracewell , R. 1999 . The Fourier Transform and its Applications, , 3rd ed. , 351 – 356 . New York : McGraw-Hill .
   Google Scholar
• Zuo , F. , Burger , C. , Hsiao , B. S. , Chen , H. , Chiu , D. and Lai , S.-Y. 2009 . “Equatorial box patterns in WAXD during uniaxial deformation of olefin block copolymer fibers,” . Macromolecules , submitted
   Google Scholar
• Seitsonen , S. 1968 . “Determination of orientation distributions in fibres and sheets,” . J. Appl. Cryst. , 1 : 82
   Google Scholar
• Seitsonen , S. 1973 . “Calculation of orientation distributions in fibres and sheets,” . J. Appl. Cryst. , 6 : 44 – 44 .
   Google Scholar
• Leadbetter , A. J. and Norris , E. K. 1979 . “Distribution functions in 3 liquid-crystals from x-ray-diffraction measurements,” . Mol. Phys. , 38 : 669 – 686 .
   Web of Science ®Google Scholar
• Ruland , W. and Tompa , H. 1968 . “Effect of preferred orientation on intensity distribution of (hk) interferences,” . Acta Cryst. A , 24 : 93 – 99 .
   Google Scholar
• Ruland , W. 1977 . “Elimination of effect of orientation distributions in fiber diagrams,” . Colloid Polym. Sci. , 255 : 833 – 836 .
   Google Scholar
• Chen , X. M. , Burger , C. , Fang , D. , Ruan , D. , Zhang , L. , Hsiao , B. S. and Chu , B. 2006 . “X-ray studies of regenerated cellulose fibers wet spun from cotton linter pulp in naoh/thiourea aqueous solutions,” . Polymer , 47 : 2839 – 2848 .
   Web of Science ®Google Scholar
• Chen , X. M. , Burger , C. , Wan , F. , Zhang , J. , Rong , L. X. , Hsiao , B. S. , Chu , B. , Cai , J. and Zhang , L. 2007 . “Structure study of cellulose fibers wet-spun from environmentally friendly naoh/urea aqueous solutions,” . Biomacromolecules , 8 : 1918 – 1926 .
   PubMed Web of Science ®Google Scholar
• Deas , H. D. 1952 . “The diffraction of x-rays by a random assemblage of molecules having partial alignment,” . Acta Cryst. A , 5 : 542 – 546 .
   Google Scholar
• Lovell , R. and Mitchell , G. R. 1981 . “Molecular-orientation distribution derived from an arbitrary reflection,” . Acta Cryst. A , 37 : 135 – 137 .
   Google Scholar
• Burger , C. , Zhou , H. W. , Sics , I. , Hsiao , B. S. , Chu , B. , Graham , L. and Glimcher , M. J. 2008 . “Small-angle x-ray scattering study of intramuscular fish bone: collagen fibril superstructure determined from equidistant meridional reflections,” . J. Appl. Cryst. , 41 : 252 – 261 .
   Google Scholar
• Burger , C. , Zhou , H. W. , Wang , H. , Sics , I. , Hsiao , B. S. , Chu , B. , Graham , L. and Glimcher , M. J. 2008 . “Lateral packing of mineral crystals in bone collagen fibrils,” . Biophysical Journal , 95 : 1985 – 1992 .
   PubMedGoogle Scholar
• Zhou , H. W. , Burger , C. , Sics , I. , Hsiao , B. S. , Chu , B. , Graham , L. and Glimcher , M. J. 2007 . “Small-angle x-ray study of the three-dimensional collagen/mineral superstructure in intramuscular fish bone,” . J. Appl. Cryst. , 40 : S666 – S668 .
   Google Scholar
• Liu , X. D. and Ruland , W. 1993 . “X-ray studies on the structure of polyacrylonitrile fibers,” . Macromolecules , 26 : 3030 – 3036 .
   Web of Science ®Google Scholar
• Onsager , L. 1949 . “The effects of shape on the interaction of colloidal particles,” . Ann.NY Acad.Sci. , 51 : 627 – 659 .
   Web of Science ®Google Scholar
• Holmes , K. C. and Leigh , J. B. 1974 . “Effect of disorientation on intensity distribution of non-crystalline fibers. 1. Theory,” . Acta Cryst. A , 30 : 635 – 638 .
   Google Scholar
• Mao , Y. , Burger , C. , Thurman , D. W. , Tsou , A. H. and Hsiao , B. S. 2009 . “Shear-induced crystallization of propylene-butylene random copolymer revealed by 2D wide-angle x-ray scattering analysis: experiment and simulation,” . Macromolecules , submitted
   Google Scholar
• Maier , W. and Saupe , A. 1959 . “Eine einfache molekular-statistische Theorie der nematischen kristallinflussigen Phase 1.,” . Z. f. Naturforschung A , 14 : 882 – 889 .
   Google Scholar
• Oldenbourg , R. , Wen , X. , Meyer , R. B. and Caspar , D. L. D. 1988 . “Orientational distribution function in nematic tobacco-mosaic-virus liquid-crystals measured by x-ray-diffraction,” . Phys. Rev. Lett. , 61 : 1851 – 1854 .
   PubMed Web of Science ®Google Scholar
• Keum , J. K. , Burger , C. , Zuo , F. and Hsiao , B. S. 2007 . “Probing nucleation and growth behavior of twisted kebabs from shish scaffold in sheared polyethylene melts by in situ x-ray studies,” . Polymer , 48 : 4511 – 4519 .
   Web of Science ®Google Scholar